501248825 has 96 divisors (see below), whose sum is σ = 838874880. Its totient is φ = 288537600.

The previous prime is 501248777. The next prime is 501248849. The reversal of 501248825 is 528842105.

It is a happy number.

It is not a de Polignac number, because 501248825 - 2¹⁰ = 501247801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9457499 + ... + 9457551.

It is an arithmetic number, because the mean of its divisors is an integer number (8738280).

Almost surely, 2^501248825 is an apocalyptic number.

501248825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501248825 is a deficient number, since it is larger than the sum of its proper divisors (337626055).

501248825 is a wasteful number, since it uses less digits than its factorization.

501248825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 501248825 is about 22388.5869362048. The cubic root of 501248825 is about 794.3607719739.

The spelling of 501248825 in words is "five hundred one million, two hundred forty-eight thousand, eight hundred twenty-five".